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40706016 = 253133193
BaseRepresentation
bin1001101101000…
…1111111100000
32211121002011020
42123101333200
540410043031
64012245440
71002665301
oct233217740
984532136
1040706016
1120a8303a
1211770880
138583000
1455987a8
153891096
hex26d1fe0

40706016 has 96 divisors (see below), whose sum is σ = 116353440. Its totient is φ = 12460032.

The previous prime is 40705997. The next prime is 40706063. The reversal of 40706016 is 61060704.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210816 + ... + 211008.

It is an arithmetic number, because the mean of its divisors is an integer number (1212015).

Almost surely, 240706016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40706016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58176720).

40706016 is an abundant number, since it is smaller than the sum of its proper divisors (75647424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40706016 is a wasteful number, since it uses less digits than its factorization.

40706016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 40706016 is about 6380.1266445111. The cubic root of 40706016 is about 343.9955831414.

The spelling of 40706016 in words is "forty million, seven hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 193 208 312 338 386 416 507 579 624 676 772 1014 1158 1248 1352 1544 2028 2197 2316 2509 2704 3088 4056 4394 4632 5018 5408 6176 6591 7527 8112 8788 9264 10036 13182 15054 16224 17576 18528 20072 26364 30108 32617 35152 40144 52728 60216 65234 70304 80288 97851 105456 120432 130468 195702 210912 240864 260936 391404 424021 521872 782808 848042 1043744 1272063 1565616 1696084 2544126 3131232 3392168 5088252 6784336 10176504 13568672 20353008 40706016